Most of my stash is now in Clever Store bins made by Rubbermaid. I don't like the deep totes - too much digging needed, which makes a mess. These are a little over 6" deep - perfect for fat quarters or up to about 1 1/2 yds folded and stood on end. Sorted by color. They fit well in a closet, and even full are easy to pick up so that I can move them to get to the bins underneath.
I don't have a sewing room. Here's a pic of my cottons (flannel, batiks, homespuns elsewhere).